GeneCoveragePlotsSeasons.ipynb

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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import matplotlib as mpl\n",
      "import prettyplotlib as ppl\n",
      "import matplotlib.pyplot as plt\n",
      "import matplotlib as mpl\n",
      "from prettyplotlib import brewer2mpl\n",
      "import seaborn as sns\n",
      "#import seaborn.apionly as sns\n",
      "import pandas as pd"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "gene_abundance = {\"January\":[3625,3854,2415,1349,1585,2210,148,3005,2066,2883,64,1,0,34,0,29,181],\n",
      "                  \"August\":[10,50,491,95,113,743,1588,65,76,2,1783,2547,2937,1826,2913,731,290],\n",
      "                  \"Both\": [0,5,9,10,41,334,1229,25,27,6,23,6,5,692,3,900,3106]\n",
      "                  }"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df_gene_abundance = pd.DataFrame(gene_abundance, index=[\"J07HWQ1\",\"J07HWQ2\",\"J07HQX50\",\"J07AB56\",\n",
      "                                           \"J07AB43\",\"J07HN4\",\"J07HN6\",\"J07HX64\",\"J07HX5\",\"J07HB67\",\"J07HR59\",\"A07HB70\",\n",
      "                                           \"A07HR67\",\"A07HN63\",\"A07HR60\",\"J07SB\",\"G22\"])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Use custom parameters\n",
      "from matplotlib import rcParams\n",
      "rcParams['axes.labelsize'] = 18 #18\n",
      "rcParams['xtick.labelsize'] = 26 # 15\n",
      "rcParams['ytick.labelsize'] = 60 #15\n",
      "rcParams['legend.fontsize'] = 24 # 18\n",
      "rcParams['font.family'] = 'serif'\n",
      "rcParams['font.serif'] = ['Computer Modern Roman']\n",
      "rcParams['text.usetex'] = False\n",
      "rcParams['figure.figsize'] = 16,12"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df_gene_abundance.plot(kind='barh', stacked=True, figsize=(16,12),fontsize=25)\n",
      "plt.tight_layout()\n",
      "plt.savefig(\"figures/GeneDifferencesSeason.pdf\",dpi=300)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Qk2o8ebFr1y6dO3dOkjRnzhzNmTPHYVtrEU1rkqNi7YWzZ8867Gcd/9o+9hQX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\nGpMXRERERERERGTT/h8qrRu6IB418gAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3a03290>"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Functional analysis"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#All the genome scaffold information\n",
      "from collections import defaultdict\n",
      "genome_scaf_info = defaultdict(list)\n",
      "\n",
      "genomes_order = [\"J07HWQ1\", \"J07HWQ2\", \"J07HQX50\", \"J07AB56\", \"J07AB43\", \"J07HN4\", \"J07HN6\", \"J07HX64\",\n",
      "                 \"J07HX5\", \"J07HB67\", \"J07HR59\", \"A07HB70\", \"A07HR67\", \"A07HN63\", \"A07HR60\", \"J07SB\", \"G22\"]\n",
      "\n",
      "sample_ids = [\"Jan23\", \"Jan25\", \"Aug07\", \"Aug09\"]\n",
      "\n",
      "for line in open(\"genome_scaffold_list.txt\"):\n",
      "    if line.strip():\n",
      "        line=line.rstrip()\n",
      "        genome,scaffold = line.split(\"\\t\")\n",
      "        genome_scaf_info[genome].append(scaffold)\n",
      "\n",
      "scaffold_length = defaultdict(int)\n",
      "\n",
      "for line in open(\"scaffold_length.txt\"):\n",
      "    if line.strip():\n",
      "        line=line.rstrip()\n",
      "        scaffold,length = line.split(\"\\t\")\n",
      "        scaffold_length[scaffold] = length\n",
      "        \n",
      "genome_length = defaultdict(int)\n",
      "\n",
      "for line in open(\"genome_lengths.txt\"):\n",
      "    if line.strip():\n",
      "        line=line.rstrip()\n",
      "        genome,length=line.split(\"\\t\")\n",
      "        genome_length[genome]=length"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cog_letter_desc = {\n",
      "                   \"D\": \"[D] Cell cycle control, cell division, chromosome partitioning\",\n",
      "                   \"M\": \"[M] Cell wall/membrane/envelope biogenesis\",\n",
      "                   \"N\": \"[N] Cell motility\",\n",
      "                   \"O\": \"[O] Post-translational modification, protein turnover, and chaperones\",\n",
      "                   \"T\": \"[T] Signal transduction mechanisms\",\n",
      "                   \"U\": \"[U] Intracellular trafficking, secretion, and vesicular transport\",\n",
      "                   \"V\": \"[V] Defense mechanisms\",\n",
      "                   \"W\": \"[W] Extracellular structures\",\n",
      "                   \"Y\": \"[Y] Nuclear structure\",\n",
      "                   \"Z\": \"[Z] Cytoskeleton\",\n",
      "                   \"A\": \"[A] RNA processing and modification\",\n",
      "                   \"B\": \"[B] Chromatin structure and dynamics\",\n",
      "                   \"J\": \"[J] Translation, ribosomal structure and biogenesis\",\n",
      "                   \"K\": \"[K] Transcription\",\n",
      "                   \"L\": \"[L] Replication, recombination and repair\",\n",
      "                   \"C\": \"[C] Energy production and conversion\",\n",
      "                   \"E\": \"[E] Amino acid transport and metabolism\",\n",
      "                   \"F\": \"[F] Nucleotide transport and metabolism\",\n",
      "                   \"G\": \"[G] Carbohydrate transport and metabolism\",\n",
      "                   \"H\": \"[H] Coenzyme transport and metabolism\",\n",
      "                   \"I\": \"[I] Lipid transport and metabolism\",\n",
      "                   \"P\": \"[P] Inorganic ion transport and metabolism\",\n",
      "                   \"Q\": \"[Q] Secondary metabolites biosynthesis, transport, and catabolism\",\n",
      "                   \"R\": \"[R] General function prediction only\",\n",
      "                   \"S\": \"[S] Function unknown\"\n",
      "                   }"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Read annotations\n",
      "annotation_folder = \"/home/ubuntu/LT_data/CompGenomics/LT_Genomes/v2/processed_genomes/annotation/\"\n",
      "file_letter_code_cog = \"list_cog\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Read annotation and store\n",
      "cog_annotation = defaultdict()\n",
      "for genome in genomes_order:\n",
      "    for line in open(annotation_folder + genome + \".txt\"):\n",
      "        if line.strip():\n",
      "            line = line.rstrip()\n",
      "            elements = line.split(\"\\t\")\n",
      "            if elements[1] == \"COG\":\n",
      "                cog_annotation[elements[0]] = (elements[2],elements[3])\n",
      "                \n",
      "        "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "one_letter_code_cog = defaultdict(list)\n",
      "for line in open(\"list_cog\", 'r'):\n",
      "    if line.strip():\n",
      "        line = line.rstrip()\n",
      "        letter, number, description = line.split(\"\\t\")\n",
      "        \n",
      "        for char in letter:\n",
      "            if char==\"[\" or char==\"]\":\n",
      "                continue\n",
      "            else:\n",
      "                one_letter_code_cog[number].append(char)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Genes with diff coverage\n",
      "diff_coverage_folder = \"/home/ubuntu/Notebooks/diff_coverage/\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cog_count_genome = defaultdict()\n",
      "\n",
      "cog_count_letter_genome = defaultdict()\n",
      "\n",
      "for genome in genomes_order:\n",
      "    cog_january = defaultdict(int)\n",
      "    cog_august = defaultdict(int)\n",
      "    cog_summary = defaultdict()\n",
      "    \n",
      "    letter_count_january = defaultdict(int)\n",
      "    letter_count_august = defaultdict(int)\n",
      "    letter_count_summary = defaultdict()\n",
      "    \n",
      "    for line in open(diff_coverage_folder + genome + \"_pvalue_results.txt\",'r'):\n",
      "        if line.strip():\n",
      "            line = line.rstrip()\n",
      "            elements = line.split(\"\\t\")\n",
      "            gene_id = elements[1]\n",
      "            product = elements[2]\n",
      "            month = elements[6]\n",
      "            \n",
      "            cog = (None, None)\n",
      "            if gene_id in cog_annotation:\n",
      "                cog = cog_annotation[gene_id]\n",
      "                            \n",
      "            if month == \"january\":\n",
      "                cog_january[cog[0]] += 1\n",
      "                \n",
      "                if cog[0] in one_letter_code_cog:\n",
      "                    for letter in one_letter_code_cog[cog[0]]:\n",
      "                        letter_count_january[letter] += 1\n",
      "                        \n",
      "                else:\n",
      "                    letter_count_january[None] += 1\n",
      "                \n",
      "            if month == \"august\":\n",
      "                cog_august[cog[0]] += 1\n",
      "                \n",
      "                if cog[0] in one_letter_code_cog:\n",
      "                    for letter in one_letter_code_cog[cog[0]]:\n",
      "                        letter_count_august[letter] += 1\n",
      "                \n",
      "                else:\n",
      "                    letter_count_august[None] += 1\n",
      "                \n",
      "    \n",
      "    cog_summary[\"january\"] = cog_january\n",
      "    cog_summary[\"august\"] = cog_august\n",
      "    \n",
      "    cog_count_genome[genome] = cog_summary\n",
      "    \n",
      "    letter_count_summary[\"january\"] = letter_count_january\n",
      "    letter_count_summary[\"august\"] = letter_count_august\n",
      "    \n",
      "    cog_count_letter_genome[genome] = letter_count_summary\n",
      "            \n",
      "        \n",
      "            "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print cog_count_letter_genome[\"J07SB\"][\"january\"]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "defaultdict(<type 'int'>, {'E': 2, 'G': 1, 'M': 1, 'L': 1, 'R': 2, 'T': 1, 'V': 1, None: 20})\n"
       ]
      }
     ],
     "prompt_number": 35
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for genome in cog_count_letter_genome:\n",
      "    plot_dict = defaultdict(list)\n",
      "    \n",
      "    for sample in cog_count_letter_genome[genome]:\n",
      "        for letter in cog_count_letter_genome[genome][sample]:\n",
      "            plot_dict[letter].append(cog_count_letter_genome[genome][sample][letter])\n",
      "            \n",
      "    df = pd.DataFrame(plot_dict, index=[cog_count_letter_genome[genome].keys()])\n",
      "    df.plot(kind=\"barh\", stacked=True, legend=True, title=genome)\n",
      "    \n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AKbfLLrvGtGmHdJn2xS+eEd/+9qXx4x9fE//6r+fE1752aULpKlvmHrQFAADAmx+lPvXU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\nAuJgsYw4NYFEQCABYhKSDSabc//oda9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       "text": [
        "<matplotlib.figure.Figure at 0x572bc6d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ZAADoV5qbm3PavC9m6NjhRUdJkrQtX52zZ38llcrkjR5j7dq1uf76ebn99luz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\nmW9JGtTrc/c0Nui5mhO6Y1juOctde0ezfrZyj6Z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       "text": [
        "<matplotlib.figure.Figure at 0x52d6d410>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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t5z5vs6l1U7+Oybarm1I8e/bsPpXiRQvPzSEnXz4IqQAAgHrUNGxYWieO3mK8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\nSykGAAAgs5RiAAAAMuv/AWrTuOt+7yYKAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x52fa4a10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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2PbMx/Rt7io4BAADQ8JTkMWD1b6/L6t9eV3QMAACAhqckjwEdcw9N+8yXb2PN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\ngISSDAAAAAklGQAAABL/H4oS7MOLrc4KAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x532fa8d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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f/CZXXvnvAx+uRinJAAAANeraa6/Oo48+kve85y82W5CTZPvtt8+73/2+Ac1V\ny3y6NQAAQI26447b09TUlNmzjy06St1wJhkAAKBGLVv2UJqbh2Xs2HE9lr/44ot57rnneizbYYcd\nMmTIkIGMV5OUZAAAgBrV3r4+O+00ZpPllcqyvPe983osO+WU+Zk3790DFa1m1V1JnjH37KIjAAAA\nDIhhw4anvb19k+Xjx0/MF7/45STJAw/cn3/+5wvS1DTQ6WpT3ZVkAACARtHa2paf//zerFy5IuPG\nje9ePnTo0Oy33/QkSZN2vEV8cBcAAECNmjnzz5L87lOu6RtKMgAAQI06+uhjM2lSOd/61r/lhz+8\no+g4dcHl1gAAQMNpX72u6AjdtibLkCFDct55X8xpp52av/mbBdl33/0yffr+GT36dWlvb8+jj1Zy\n2223pFQqZeedx/Zh6vpVEyX51ltvze677562traiowAAADWuXG7NeXPOKjpGD+Vya6/3HT9+Qi67\n7N9y/fWLcscdt+Xb3/5m1q9fn6FDd8iuu+6aOXOOy9FHH5Ndd92tDxPXr5opyTNnznxNJXnxwjNz\n+AcvH4BUAABALSqVSmlrm1x0jD41ZMiQHH/83Bx//Nyio9S8Lb4n+SMf+UiOP/74HH300bnyyiuT\nJPvuu2/3+ptuuimnn356kuTRRx/NCSeckNmzZ+f888/v3u7uu+/Ohz/84e59zjrrrFx11VVJks9/\n/vN529veljlz5uTcc8/Nvffemx/84Ac577zzcuyxx+axxx7r/aMFAACAV7DFZ5LPOeecjBgxIhs2\nbMjcuXNzxBFH9Fj/+x8v/o//+I953/vel6OOOipXXHHFy47Z1NSUpqamrFmzJrfeemtuuummJMn6\n9eszfPjwHHrooZk5c+YmxwIAAIC+tMUl+etf/3puvfXWJMmqVavyyCOPvOy2P/vZz3LxxRcnSY4+\n+uice+65rzh2S0tLhgwZkjPOOCMzZ87MW97ylu51XV1dWxoVAADYBowePTxjxrT06Zh9PR68ZItK\n8t13353FixfnyiuvzJAhQ3LSSSdl48aNPc4eb9iw4VXHKZVKefHFF7u/3rhxY7q6ulIqlbJw4cIs\nXrw4N998c77xjW/ka1/7WhJ/ABsAAGrVM8+sz+o+/DTpMWNa+nQ8akt//4Jki+5JXr9+fXbccccM\nGTIkDz30UH7+858nSXbaaac89NBDefHFF7vPMifJPvvs033p9PXXX9+9fMKECXnwwQfzm9/8Js89\n91wWL144SPsXAAAgAElEQVScpqamdHR0ZN26dTnkkENy+umn57777kuSDBs2LOvXr9/qBwsAAACv\nZIvOJB900EG54oorctRRR2X33XfPPvvsk6ampnzyk5/Mhz/84YwePTp77713Ojo6kiRnnHFGFixY\nkEsuuSQHHnhgWlp+1/jHjRuXt771rZk9e3YmTpyYP/qjP0qStLe355RTTuk+s/zSB4AdddRROfPM\nM/ONb3wjF1xwQXbdddeXzThj7tm9eiIAAABgi0ry9ttvn6985SubXTdr1qxNlu2yyy7dn4B9/fXX\np1KpdK9bsGBBFixYsMk+Cxcu3GTZ1KlTe5yJBgAAgP7Qr38n+Ve/+lXOPvvsdHV1ZcSIETnnnHP6\n83AAAACwVfq1JE+bNi3XXHNNfx4CAAAA+swWfXAXAAAA1DMlGQAAAKrqriQvXnhm0REAAACoUf16\nTzIAAMC2prOzM5XKsqJj9FAut6ZUKhUdgyjJAABAg6lUluVHp34845qbi46SJFnZ0ZGcf2Ha2iZv\n8b5Ll96T+fNPzimnzM+8ee/e7DYHHTQ9M2YcmPPOO39rozYEJRkAAGg445qbs9vwlqJj9Jmmpq1b\nz/+ou3uSAQAAoLeUZAAAAKiqu8utZ8w9u+gIAAAAA2rDhg1Zs2ZN0THqQt2VZAAAgEZz2WWX5LLL\nLik6Rl1QkgEAAGrcMcccn5kzD9tkeVdXV0499SMFJKpdSjIAAECNmzhx1+y33/SiY9QFH9wFAAAA\nVUoyAAAAVNVdSV688MyiIwAAAFCj3JMMAAA0nJUdHUVH6LayoyO7Fx2CbkoyAADQUMrl1uT8C4uO\n0W33VDOxTVCSAQCAhlIqldLWNrnoGH1i6tRpueuuJa+4zautp6e6uycZAAAAektJBgAAgKq6K8kz\n5p5ddAQAAABqVN2VZAAAAOgtJRkAAACqlGQAAACoUpIBAACgSkkGAACAqroryYsXnll0BAAAAGpU\n3ZVkAAAA6C0lGQAAAKqUZAAAAKgaXHQAAACAgdTZ2ZlKZVnRMXool1tTKpWKjkGUZAAAoMFUKssy\n/3OL0jxi56KjJEk61j6ZCxbMSVvb5C3ed+nSezJ//sk55ZT5mTfv3f2QrvHUXUmeMffsoiMAAADb\nuOYRO2f4qAlFx+gzTU1FJ6gf7kkGAACAKiUZAAAAqpRkAAAAqFKSAQAAoEpJBgAAgKq6K8mLF55Z\ndAQAAABqVN2VZAAAAOgtJRkAAACqlGQAAACoGlx0AAAAgIHWsfbJoiN025ayoCQDAAANplxuzQUL\n5hQdo4dyubXoCFTVXUmeMffsoiMAAADbsFKplLa2yUXH6BNTp07LXXctKTpGXXFPMgAAAFQpyQAA\nAFClJAMAAECVkgwAAABVSjIAAABU1V1JXrzwzKIjAAAAUKPqriQDAABAbynJAAAAUKUkAwAAQJWS\nDAAAAFVKMgAAAFTVXUmeMffsoiMAAABQowYXHQAAAGAgdXZ2plJZVnSMHsrl1pRKpaJjECUZAABo\nMJXKspy26O8ybExL0VGSJO2r1+W8OWelrW1yr8dYuvSezJ9/ck45ZX7mzXt3H6ZrPEoyAADQcIaN\naUnL+JFFx+hzTU1FJ6h9dXdPMgAAAPSWkgwAAABVdVeSFy88s+gIAAAA1Ki6K8kAAADQW0oyAAAA\nVCnJAAAAUKUkAwAAQFXd/Z3krhc7s/7Zx4uOAZCN7Wuy8sWOrH5+Q9asfWJAjrlu3VNZsWrtJsuf\nfGpd1nU2xvfGjmeeTprX9cE47VnZ8UIfJOpp9fMb0rH2yV7v//y6Z9K+eusfX1/asOb5rHmh/1/j\nL/f63pxXe823r34iG9f27bmC/p6b1/qa3NrXWCPaFt9XW6K/vl+95JV+jr2W9+WKVWszfq/+SAb9\no+5K8i/v/UmeeWZ90TEowOjRw819A9sW57+zc3qSpiRdSZpSKvX/xTudnftt9li77NmZWQOUoQi/\nP/+de70vffF8d76xs0/G+UO7dXbm6K0Y96XX1bY0l/31XG1ynM28vl/uvf9qr/nOvSZuMtbW5+vf\nuXmtz/PWvsZqSV99798W31dbor/fg7t1vvz4L/dz5/eN3yspl1v7JRv0h7oryXvssUdW1/BvAum9\nMWNazH0DM/+Nzfw3LnPf2Mw/W2NbunpgW8pCHZZkAACAV1Iut+a8OWcVHaOHvjrbPmhQqU/GaWRK\nMgAA0FBKpVLa2iYXHaNPtbf/7taDlpaWgpPUvtq88QIAAIBu//Vfv0qStLa+vuAktc+ZZAAAgBp1\nyy035b77fp3vfvfb2WOPKdlzzylFR6p5dVeSy+Vyliz5ZdExAAAA+t0XvnBeBg1qyiGHHJqPfeyv\nio5TF+quJAMAADSKG2+8vegIdcc9yQAAAFClJAMAAECVkgwAAABVSjIAAABU1V1JrlQqRUcAAACg\nRtVdSQYAAIDeUpIBAACgSkkGAACAqsFFBwAAABhInZ2dqVSWFR2jh3K5NaVSqegYREkGAAAaTKWy\nLD869eMZ19xcdJQkycqOjuT8C9PWNnmL91269J7Mn39yTjllfubNe3ePdffe+9N8+tN/laFDd8j5\n51+U1tbX91XkulZ3JblcLmfJkl8WHQMAANiGjWtuzm7DW4qO0Weamnp+/Z//eVfOPPPT2WmnnfLF\nL34548dPKCZYDXJPMgAAQB35/vdvyhlnfCq77rprLr74MgV5C9XdmWQAAIBGddVV38kXvnBu9tpr\n73z+8xempaV+zpYPFCUZAACgxnV1Jf/2b/+aSy/9cvbbb3o++9kvZOjQoUXHqklKMgAAQI27+urv\nZMWKx3PwwW/JZz7zfzJ4sKrXW+5JBgAAqHFPP/1UkmT8+IkK8laqu5JcqVSKjgAAADCg3v3u92Xq\n1Om54opv5KKLvlh0nJpWdyUZAACg0QwdOjTnnXd+9ttver797W/mS1/6QtGRapaSDAAAUAeGDBmS\nc889P9OmvTFXXvmtXHjhPxUdqSYpyQAAAHViyJAh+exnv5Dp0/fPwoVX5IILFOUt5Y5uAACg4azs\n6Cg6QreVHR3ZvQ/He6kof/rTn8x3vnNFurpezCc+saAPj1DflGQAAKChlMutyfkXFh2j2+6pZupD\n22+/fT772X/K6ad/Kt/73sJ0dXXl1FNP69Nj1Kumrq6urqJD9KVyuZwlS35ZdAwKMGZMS1avXld0\nDApi/hub+W9c5r6xmf/GZe4b25gxLf06vnuSAQAAoEpJBgAAgColGQAAAKqUZAAAAKhSkgEAAKCq\n7kpypVIpOgIAAAA1qu5KMgAAAPSWkgwAAABVSjIAAABUKckAAABQpSQDAABAVd2V5HK5XHQEAAAA\natTgogMAAAAMpM7OzlQqy4qO0UO53JpSqVR0DKIkAwAADaZSWZYvf+7ajByxS9FRkiRr1j6RUxbM\nTlvb5C3ed+nSezJ//sk55ZT5mTfv3f2QrvEoyQAAQMMZOWKX7DRqQtEx+kxTU9EJ6kfd3ZMMAAAA\nvaUkAwAAQFXdleRKpVJ0BAAAAGpU3ZVkAAAA6C0lGQAAAKqUZAAAAKhSkgEAAKBKSQYAAICquivJ\n5XK56AgAAADUqMFFBwAAABhoa9Y+UXSEbn2R5Z57fpINGzZssnzkyFE59ti3b/X4jURJBgAAGkq5\n3JpTFswuOkYP5XJrr/ZrampKkvzkJz/O3Xcv3mT9pEllJXkLKckAAEBDKZVKaWubXHSMPrHvvvvl\nrruWFB2jrtTdPckAAADQW0oyAAAAVNVdSa5UKkVHAAAAoEbVXUkGAACA3lKSAQAAoEpJBgAAgCol\nGQAAAKqUZAAAAKiqu5JcLpeLjgAAAECNqruSDAAAAL2lJAMAAECVkgwAAABVg4sOAAAAMJA6OztT\nqSwrOkYP5XJrSqVS0TGIkgwAADSYSmVZ7rn9nIwfO6LoKEmSFavWJoeekba2yVu879Kl92T+/JOT\nJMcfPzennnraJts8++wzOe64o9LZ2Zl99pmaL33pkq3OXM/qriRXKpWsXr2u6BgAAMA2bPzYEZk0\ncXTRMfrM9ttvn1tuuTkf/eip2W677Xqsu+mmG5IkpVIpTU1NRcSrKe5JBgAAqHEHHzwz69Y9l7vu\nunOTdTfcsCgzZrw52223fQHJao+SDAAAUOP22GNK2tom54YbFvVY/t///atUKg/nqKNmF5Ss9ijJ\nAAAANa6pKXnb2+ZkyZK789RTq7uXX3/9oowePTpvetNBSbqKC1hDlGQAAIA6MGvWW1MqlXLjjdcl\nSTZu3JDbbvt+Zs06yidnbwElGQAAoA7suOOIvPnNB+eGG65Nktx55w/S3t6et73tmIKT1Za6K8nl\ncrnoCAAAAIU46qjZWb78sfziFz/L9dcvyl577Z1Jk8pFx6opdVeSAQAAGtUb33hAxozZOZdffmnu\nvfenedvb5hQdqeYoyQAAAHWiVCpl1qyj8tOfLsmQIUNy2GGzio5UcwYXHQAAAIC+c+yxb892222X\nCRMmprm5ueg4NUdJBgAAGs6KVWuLjtBtxaq1Gb9X3423yy5j8xd/8cG+G7DBKMkAAEBDKZdbk0PP\nKDpGt/F7VTP1u6YBOEbta+rq6qq7vyi9evW6oiNQgDFjWsx9AzP/jc38Ny5z39jMf+My941tzJiW\nfh3fB3cBAABAlZIMAAAAVUoyAAAAVCnJAAAAUKUkAwAAQFXdleRyuVx0BAAAAGpU3ZVkAAAA6C0l\nGQAAAKqUZAAAAKhSkgEAAKBKSQYAAICquivJlUql6AgAAADUqMFFBwAAABhInZ2dqVSWFR2jh3K5\nNaVSqegYREkGAAAaTKWyLJ+55UdpGTuh6ChJknWrHs/fH560tU3e4n2XLr0n8+efnCQ57bS/yezZ\nx26yzUEHTc+MGQfmvPPO3+qsjUBJBgAAGk7L2AkZMWFS0TH61OWXX5ojjnhrhgwZssm6pqYCAtWo\nursnGQAAoNFMmfKGPPXU6lx55beKjlLzlGQAAIAaN3Pm4dlzzzfkm9/8Wp57bm3RcWpa3ZXkcrlc\ndAQAAIABNWhQUz784Y+mvX19vva1y4uOU9PqriQDAAA0omnT3pjp0/fPVVd9J6tWrSo6Ts1SkgEA\nAOrEySd/LC+88Nt89asXFx2lZinJAAAAdWLy5D1z2GGzcsstN+Whhx4sOk5NUpIBAADqyAc+cHJK\npVIuvvjCoqPUJCUZAACgjowbNz7HHvv23H334tx770+LjlNz6q4kVyqVoiMAAAAU6r3v/V8ZNmxY\nvvxlZ5O31OCiAwAAAAy0daseLzpCt3WrHk/+eFKfjjlixMjMm3dSvvrVf+nTcRuBkgwAADSUcrk1\nf3940Sl+zx9PSrnc2ufDvvOdJ+aqq76TZ555us/HrmdKMgAA0FBKpVLa2iYXHaNPTJ06LXfdtWSz\n64YMGZqrr75xgBPVvrq7JxkAAAB6S0kGAACAqroryeVyuegIAAAA1Ki6K8kAAADQW0oyAAAAVCnJ\nAAAAUKUkAwAAQJWSDAAAAFV1V5IrlUrREQAAAKhRdVeSAQAAoLeUZAAAAKhSkgEAAKBqcNEBAAAA\nBlJnZ2cqlWVFx+ihXG5NqVQqOgZRkgEAgAZTqSzL/M8tSvOInYuOkiTpWPtkLlgwJ21tk3s9Rnv7\n+ixceEV++MMfZPny5Xnxxc6MHTs+b3rTmzNv3kkZNWp0Hyaub3VXksvlcpYs+WXRMQAAgG1Y84id\nM3zUhKJj9IlHH30kn/zkx/LEE6tyyCGHZvbs4zJ48OD86le/yMKFV+SGG67NZz97fvbe+4+LjloT\n6q4kAwAANIoNGzbkr//61Dz99FM599zzM2PGm7vXzZ59bI47bm4+8YlTcvrpn8zXv36FM8qvgQ/u\nAgAAqFHXXXd1li9/LHPnzutRkF8yZcob8qEPfSRr1jybf//3fysgYe1RkgEAAGrUHXfcnqampsyZ\nc9zLbnPUUUenVCrlzjtvH8BktUtJBgAAqFHLlj2U5ubmTJgw8WW3GTJkaCZNKmfVqpXZsGHDAKar\nTUoyAABAjWpvX59hw4a/6nbNzcOSJOvXr+/vSDWv7kpypVIpOgIAAMCAGDZseNrb2191u46O320z\nfPirF+pGV3clGQAAoFG0tralvX19Hn98+ctus2HDhjzySCVjx47L0KFDBzBdbVKSAQAAatQhhxya\nJLn22qtfdpubbrounZ2d3dvyypRkAACAGjV79rGZMGHXfPvb38zddy/eZP3999+Xf/mXf86oUaPz\nrnedVEDC2jO46AAAAAADrWPtk0VH6LY1WYYOHZpzz/1CPvnJj+W00z6RQw45NPvsMzWlUim//vV/\n5eabb8iwYcNyzjmfz6hRo/swdf1q6urq6io6RF9bvXpd0REowJgxLea+gZn/xmb+G5e5b2zmv3Ft\n7dx3dnamUlnWh4m2XrncmlKp1Ov929vXZ+HCK3Lnnbdn+fLlefHFzowbNz5vetOBmTfvpLoqyGPG\ntPTr+HVXksvlcpYs+WXRMSiAH5SNzfw3NvPfuMx9YzP/jcvcN7b+LsnuSQYAAIAqJRkAAACqlGQA\nAACoUpIBAACgSkkGAACAqroryZVKpegIAAAA1Ki6K8kAAADQW0oyAAAAVCnJAAAAUDW46AB97f/9\nv/+XZ55ZX3QMCvDss8PNfQPbFue/s7MzSVOSriRNKZX6//eSLx3zD4/1csvrxe/Pf1881m1ljP4a\ne1t8PfQ205a89wfqcW/JcV5t2/7I3N/Pw2sdvy9ybIvf+/vTtvje3RJ9mX9zc/9K47/WY5fLrSmV\nSludj9pWdyX5pNP/Pc0jdi46BkBW3P+jfOjFSlY//3web5uTkSN26fdjPrr8v3LYW1Zm/NgRPZb/\n7FfLs2TU7LSMndDvGYq26lf3ZuPyQVv1s+Dp5b/OyGkPZ9iYll6Psfq+lXnXL17IuObmXo/xcn7x\n9NO5vW12rx9jXzy+vtbb5+vhLdj2F08/PSDvxZd7H27Oq703++L1/If6e/5f61xu7eu4EW2L790t\n0ZffFzf33n+l9/hreV+uWLU2OfSMtLVN3up81La6K8k///6XcvgHLy86BkCGDBuZcZ3NSbrSPmKX\n7DSq/wvqs2ufyPixHZk0cXSP5StWrU3LmAkZMWFSv2co2ronVqS0rinDt+L57lj7RIaNeSot40f2\neoz2J5/LuObfZrfhff+P2ZUd7WkesXOvH2NfPL6+1p/P10tWdrQPyHvx5d6Hm/Nq782+eD3/of6e\n/9c6l1v7Om5E2+J7d0v09/v8ld7jW/K+hLoryQAAAK+ks/PFLF+5pseyFavW5oXhjxSUyKXe2xIl\nGQAAaCjLV67JFx98ouel6ztslzx+ZfL4wOdpX70u5805q1eXei9dek/mzz+5x7KhQ3fIbrtNypFH\nvi1vf/sJGTSoNu9jL4qSDAAANJxhY1pq9tL1zTn88CNzwAFvTtKV1aufzI03XpcLL/ynPPzwQznt\ntL8pOl5NUZIBAABq3B577Jkjjjiy++vjjntHTjxxbq677pp84AMnZ9Qo92O/Vs67AwAA1Jnm5mH5\noz/aO11dXVmxYkXRcWpK3ZXkGXPPLjoCAABAobq6urJ8+fI0NTVl5Mj6uax8ILjcGgAAoMZt2LAh\na9asSVdXV55++ql897vfzkMPPZC99/7jTJgwseh4NUVJBgAAqHGXXXZJLrvsku6vBw0alAMPPMSH\ndvWCkgwAAFDjjjnm+MyceViampoydOjQ7LrrpLS0tLz6jmxCSQYAAKhxEyfumv32m150jLpQdx/c\nBQAAAL1VdyV58cIzi44AAABAjXK5NQAA0HDaV68rOkK3bSkLSjIAANBgJo4bmU/8wbIVq9Zm59ef\nmN12m1RIpnK5tZDjsiklGQAAaCil0qBMmjh6k+Xjd5uUtrbJBSTqvalTp+Wuu5YUHaOu1N09yQAA\nANBbSjIAAABU1V1JnjH37KIjAAAAUKPqriQDAABAbynJAAAAUKUkAwAAQJWSDAAAAFVKMgAAAFTV\nXUlevPDMoiMAAABQo+quJAMAAEBvKckAAABQpSQDAABA1eCiAwAAAAykzs4Xs3zlmh7LVqxamxeG\nP1JQoqRcbk2pVCrs+PwPJRkAAGgoy1euSeUr92dcc3P3stcl6bzt4jxcQJ6VHR3J+RemrW1yr8do\nb1+fhQuvyA9/+IMsX748L77YmbFjx+dNbzow8+adlFGjRvVh4vpWdyV5xtyzi44A8P/bu/fwqOpD\n3ePvOOEWSAjhJklIhglRLoIEUchT0A3lFiCiUNwIotmitrZbpVCtm5Jqoc9BbA9UioLHooJ6UNkg\ncglEAbltAWFTcXNELZcEQxJuISHkgmQy548uRscAGcIkK2vN9/M8PE/yW2vWvJPf+kXfzKwZAADQ\nwHUID1d8iwizYwTFsWM5mjbtCZ04UaC77hqktLR7FRYWpgMHvtDy5cuUmblGL744T9263WJ2VEuw\nXUkGAAAAgFBRUVGh3/721zpz5rTmzJmnlJSf+Lalpd2je+8dpylTfqlnn52mJUuWqVWraBPTWgNv\n3AUAAAAAFrV27Srl5n6rcePu9yvIl3Tp0lU///mvdPZsoZYte8uEhNZDSQYAAAAAi9qyZbMcDofu\nvvveK+4zYsQoOZ1Obd36ST0msy5KMgAAAABY1JEjhxUeHq7Y2Lgr7tOkSVMlJLiUn5+nioqKekxn\nTZRkAAAAALCo0tLzat68RY37hYc3lySVlZXWdSTLs11J3rk8w+wIAAAAAFAvmjdvodLSmotvWVmp\nHA6HWraMqodU1ma7kgwAAAAAocLtTlRp6XkdP557xX0qKiqUk5OtDh1i5HQ66zGdNVGSAQAAAMCi\nBg78qSRpzZpVV9xnw4a18ng8GjZsRH3FsjRKMgAAAABY1KhRo9WxY7zee+8d7d69s9r2r7/+SosW\nvay2bdvp3nvHmZDQesLMDgAAAAAA9S2/rMzsCD75ZWXqVMvbNmnSVC+8MFfTpj2pZ56ZorvuGqRe\nvXrL6XTq4MH/p6ysTLVsGaXZs/+3oqK4HjkQlGQAAAAAISWuQ5T06M1+Y3kFxWrXeaLi4xPqPU8n\nSS6Xu9a3j49P0JIl/1fvv79M27Z9op07/0sVFeWS/nnN8sKFi33vbo2a2a4kp4ybZXYEAAAAAA2Y\n03mDEuKiq43HxCcoMTHJhETXLzy8udLTH1F6+iOSJI/Ho4yMZ7V9+xZ9+OEHuv/+B0xOaB1ckwwA\nAAAANuN0OjVz5mylpPxECxfO16pVK8yOZBm2eyYZAAAAACCFhYXpxRf/YnYMy+GZZAAAAAAADJRk\nAAAAAAAMlGQAAAAAAAy2K8k7l2eYHQEAAAAAYFG2K8kAAAAAANQWJRkAAAAAAAMlGQAAAAAAAyUZ\nAAAAAAADJRkAAAAAAIPtSnLKuFlmRwAAAAAAWFSY2QEAAAAAoD55PFXKzS/yG8srKFZlixyTEkku\nl1tOp9O0+8f3KMkAAAAAQkpufpHmrOuo8Jbt/DccypeUX+95yopP6qWn71ZiYtI133bfvr166qnH\n/caaNm2mjh07avDg4brvvvsVFkbtuxb8tAAAAACEnPCW7dSiVazZMYJmyJDh6tfvJ5K8On36tLKy\n1mnhwvk6cuSQZsz4g9nxLIWSDAAAAAAWd9NNN2vo0OG+78eMGacJE8YqKytTjz/+hFq3bmNiOmux\n3Rt3AQAAAECoa9q0qbp1u0WSVFBQYHIaa7FdSd65PMPsCAAAAABgury8XDkcDrVpw7PI14KXWwMA\nAACAxVVUVKioqEher1eFhWe0atUK/eMf32jAgH9R+/Y3mh3PUijJAAAAAGBxixe/qsWLX/Ub+9d/\nnaif//xXJiWyLkoyAAAAAFjc6NFjNHDgYFVWVurw4X/onXeWaPPmj3XffferXbv2ZsezFNtdkwwA\nAAAAoSYurqNuu+129e2bogkTHtScOfN0+vQpvfDCH82OZjmUZAAAAACwmVtu6alhw0Zoz55d2rv3\nM7PjWIrtSnLKuFlmRwAAAAAA06WnP6IbbrhBb7zxmtlRLIVrkgEAAACEnLLik2ZH8KmrLLGxcRo8\neKg++miD9u3bq969+9TJ/dgNJRkAAABASInrEKXfjvxW0re+sbyCYrXrPFHx8QmmZHK53HVy3Acf\nnKyNGz/Sm2/+jZIcoIBK8vjx4/Xuu+/WdRYAAAAAqHNO5w1KiIuuNh4Tn6DExCQTEtVe7959tH37\nnituT0hwaevW3fWYyPoCuibZjIJcWVlZ7/cJAAAAAAhtAZXk5ORklZWVKT09XWPGjFFaWpo2bdok\nScrNzVVqaqoyMjI0atQoTZ48WRcuXJAkTZo0SQcOHJAkFRYWatCgQb7bTJw4UWPGjNGYMWP097//\nXZK0e/duTZgwQY8//rhGjhyp+fPna8mSJb4c8+bN09KlS4P36AEAAAAA+IGA3926adOmWrBggVau\nXKklS5Zozpw5vm3Hjh3TxIkTtXbtWkVERCgrK8u3zeFwVDtWmzZt9MYbb2jlypWaO3eu/vjH7z+7\n6+DBg5oxY4aysrI0duxYffjhh5KkqqoqZWZmavTo0VfNuXN5RqAPCQAAAAAAPwG/cVdVVZXmzp2r\nvXv36oYbbtDJkyd15swZSVJcXJy6dOkiSerevbuOHz9+1WNdvHhRM2fO1FdffSWn06mcnBzfth49\neig2NlaSFBsbq6ioKB08eFCnTp1St27d1LJly2t+kAAAAABQk+joFmrbNsLsGDBZwCV5zZo1Onv2\nrD744AM5nU4NGjTI97Lqxo0b+/ZzOp2+8bCwMFVVVUmSvvvuO98+b775ptq2bas//elP8ng86tmz\np29beHi43/3+7Gc/04oVK3TmzBmNHTu2Fg8RAAAAAGpWWHhep06VmB0DNajrP2QE/HLrkpIStW7d\nWk6nU7t27VJeXl6Nt4mNjfVdk7xhwwbf+Pnz59W2bVtJ0qpVq+TxeK54jCFDhmj79u06cOCABgwY\nEM2rxbEAABYVSURBVGhcAAAAAACuWUAl2eFwKC0tTQcOHFBaWpo+/PBDJSYm1ni7hx9+WMuWLdO9\n996roqIi3/XJEyZM0AcffKDRo0fr6NGj1Z49/qFGjRqpX79+Sk1Nvez1zQAAAAAABEuNL7c+e/as\noqKi1KpVqyt+FNSaNWt8Xz/88MO+r91ut1avXu37fsqUKZKkhIQEv/Hf/OY3kqS+ffuqb9++fseu\nqqrS/v37NX/+/EAeDwAAAAAAtXbVZ5JPnDih8ePHa/LkyfWVx8+hQ4c0dOhQpaSkKD4+PqDbpIyb\nVcepAAAAAAB2ddVnktu3b+/3cU71rXPnztq4caNp9w8AAAAACC0Bv3EXAAAAAAB2R0kGAAAAAMAQ\n8OckAwAAAIAdeDxVys0v8hvLKyhWZYsckxJJLpdbTqfTtPvH9yjJAAAAAEJKbn6R/nLohJq3jfh+\nsFkj6fj70vH6z1N6qkQv3j1TiYlJtbr98eO5evvtJdq/f59OnjyhRo0aq3Xr1uratbtSU0epd+8+\nQU5sb7YryTuXZ2jIY6+bHQMAAABAA9a8bYQiYqLMjnHdvvrqS/37vz+mRo0aa/jwkerUya0LFy7o\n229z9Nlnu9W8eXNK8jWyXUkGAAAAgFDx+uuv6bvvvtOrr76pxMTO1bYXFp4xIZW18cZdAAAAAGBR\nubnHFBnZ8rIFWZKio1vXcyLroyQDAAAAgEXFxXVUcXGRtm79xOwotsHLrQEAAADAoh58cLL27Nmt\nGTOeUWxsR/Xseau6deuu5OQ+SkhwmR3PkijJAAAAAGBRt9zSQ4sXv6V3331Hu3Z9qvXr12r9+rWS\npFtvTdb06c8pJibW5JTWYruSnDJultkRAAAAAKDeuN2dNX36c5KkgoICff75f2vt2g+1f//f9R//\nMU2LF7+tsDDbVb86wzXJAAAAAGATN954o4YPH6kFC/6PevS4VUeOHNaXXx4wO5alUJIBAAAAwIa6\ndu0uSTp9+rTJSayFkgwAAAAAFrVnzy55PJ5q4xcuVGjPnl1yOBxyuTqZkMy6eGE6AAAAgJBTeqrE\n7Ag+15Nl/vy5OnfunPr3v1Nud6KaNGmqkydP6OOPNyg391ulpo6S250YxLT2R0kGAAAAEFLiOkRp\nyo/G8gqK1a7zRMXHJ5iSyeVy1+p2Tz45Vdu3b9UXX+zX1q2bVVJSooiICCUmJmnSpH/TiBFpQU5q\nf7YryTuXZ2jIY6+bHQMAAABAA+V03qCEuOhq4zHxCUpMTDIhUe3dfns/3X57P7Nj2ArXJAMAAAAA\nYKAkAwAAAABgoCQDAAAAAGCgJAMAAAAAYKAkAwAAAABgsF1JThk3y+wIAAAAAACLsl1JBgAAAACg\ntijJAAAAAAAYKMkAAAAAABgoyQAAAAAAGCjJAAAAAAAYbFeSdy7PMDsCAAAAAMCiwswOAAAAAAD1\nyeOpUm5+kd9YXkGxKlvkmJRIcrnccjqdpt0/vkdJBgAAABBScvOLlP3a1+oQHu4bay3Js2mhjpqQ\nJ7+sTJo3X4mJSdd82wEDbg943+XL1+jGG2+85vsINZRkAAAAACGnQ3i44ltEmB3jumVkzPL7fv/+\nfVq9+gONHj1GPXsm+22Lioqqz2iWRUkGAAAAAIsaOnS43/eVlRe1evUH6t69R7VtCIzt3rgLAAAA\nAIDasl1JThk3q+adAAAAAAC4DNuVZAAAAAAAaouSDAAAAACAgZIMAAAAAICBkgwAAAAAgIGSDAAA\nAACAwXYleefyDLMjAAAAAAAsKszsAAAAAABQ3/LLysyO4JNfVqZOZoeADyUZAAAAQEiJ6xAlPXqz\n31heQbHadZ6o+PiEes/TSZLL5Q7KsRwOhxwOR1COFaooyQAAAABCitN5gxLioquNx8QnKDExyYRE\nwZOaOkqpqaPMjmFptrsmGQAAAACA2qIkAwAAAABgsF1JThk3y+wIAAAAAACLsl1JBgAAAACgtijJ\nAAAAAAAYKMkAAAAAABgoyQAAAAAAGCjJAAAAAAAYbFeSdy7PMDsCAAAAAMCibFeSAQAAAACoLUoy\nAAAAAAAGSjIAAAAAAIYwswMAAAAAQH3yeKqUm1/kN5ZXUKzKFjkmJZJcLrecTqdp94/vUZIBAAAA\nhJTc/CKtWhevqJbt/ca/OXRC0ol6z1NUfEK/fDpNiYlJ13zbzMw1mj17pqZPf06pqaOqbc/Pz9N9\n941WauooTZ/+XDDi2p7tSnLKuFlmRwAAAADQwEW1bK82rWLNjoEGiGuSAQAAAAAwUJIBAAAAADBQ\nkgEAAAAAMFCSAQAAAAAwUJIBAAAAADDYriTvXJ5hdgQAAAAAaFAcDofZESzDdiUZAAAAAEJFkyZN\nJEkXLlRcdnt5ebnffqiZ7T4n2Vvl0fmzx82OAQC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Phi03N1eDBw+W9P1L6i9dO7Jp0ybF\nxMRICu5cB3Is1I+a5r+kpESzZ8/W119/rZKSEkVFRWnAgAGaOnWq2rZt63cs5t9aBg0apPz8/Gqf\nhcnaDw01zT9r375eeuklbdy4Ubm5uQoLC1PHjh01duxYjR8/Xk6n07cfa9+eapr/r7/+ukGsfVuU\nZAAAAAAAgsHy1yQDAAAAABAslGQAAAAAAAyUZAAAAAAADJRkAAAAAAAMlGQAAAAAAAyUZAAAAAAA\nDJRkAAAAAAAMlGQAAAAAAAz/HxuLw/3sOvlrAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5356d490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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tt+bb3/5W2tvbM3r0Vtlxxx1z7LHH55hj3pQdd9ypHxPXLyUZAAAYVkqlUlpb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\nCeckAwAAAABgICQDAAAAAGAgJAMAAAAAYCAkAwA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o4DbWtm1bNW7cWKdPnzapqrrh66+/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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x53818850>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AququJC869eKiIwAAAFCj6q4kAwAAwFApyQAAAFClJAMAAEDVhKIDAAAAjKb+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\nAABgsFxI7j1qptklAAAAAACClOVCMgAAAAAAlUV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       "text": [
        "<matplotlib.figure.Figure at 0x53b31cd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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BDdbASnd362q1WnQEAACAQXH77belqakpRx11bNFRSqN0JRkAAGCoWLLkkTQ3t2TSpMlF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\nAAAONjWDR2bMyGMzclhDLrhgdm677Y5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jjzyqS38O73fMZz/759m8eVNOPPGULF36TL79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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x53d9c7d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ces1n0jp6WNFRkiQdy1bmnMM/m/b2Set87MKF92TOnJMye/acHHvsca86Zt99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\nrI4BUZIBAAAARJi9tTUq9vvVPSHB6ii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AJkoyAAAAAAAmSjIAAAAAACZKMgAA\nAAAAJkoyAAAAAAAmSjIAAAAAAKb/A4qDjZziL0jxAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x540fea90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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zzvpC9tnn7Wsd88ILL+Tyy/9z44erUUoyAABAjbr66ivz6KOP5D3v+dtXLMhJ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\nNhkrKXOr98CZSklJDWwbIMnlSrusTOc4HA45HI6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mzZsD47W1tXrnnXd00003BbZxfVhf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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x54364650>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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d983MQ96xLVEBAAAaQsOV5MWXn5dj3n3JsJdvm9qRjhkTRzDRtukfgRPbpVLp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\nAACAxP8H1Pw6pfEYp2AAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x54608f90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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6SkkGAACAKiUZAAAAqoYUHQAAAGAgda/rSvvqpQN+3BfWrEj7M8+/5rrh40ak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\nDAAAABVKMgAAAFQoyQAAAFDx/wGhB9CwMzxFfQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5e667d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CNVxJBgAAgKFSkgEAAKBGSQYAAICaMUUHqCcDG/rT09VZdIxBWtqnpdRULjoG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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x54952290>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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bi45TN3z0GgAAGHG61/y+6Ah9BpJlzJgxOe+8z+X000/LP//zwuy778zMnr1/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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x54ca1890>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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pRUcAAACgTjVcSQYAAIDeUpIBAACgSkkGAACAKiUZAAAAqpRkAAAAqGq4kjzl\niDOKjgAAAECdariSDAAAAL2lJAMAAECVkgwAAABV/YsOAAAAsD51dnamUllQdIweyuXxKZVKRccg\nSjIAANDHVCoLcvL1n8ug1paioyRJ2peuyDkzTk9b24Rez7F69ercdNP1ufPOO7JgwSNZuXJFBg7c\nJOPGjctOO03OQQdNzxZblGsXuoE1XEmeO+e07Hfs5UXHAAAANmCDWlvSMnpo0TFq4oknFuYf/uGk\n/P73ley446T89V8fmREjRqSjoyMPPfS73HTT9bniiu/k+9+/KSNGjCg67gav4UoyAABAX7F69aqc\nfPIns3jxopx11ley557vWmPMCy+8kKuu+s/1H65OKckAAAB16oYbrs1jj/0+H/rQ37xiQU6SjTfe\nOEcd9eH1mqueebo1AABAnbrzzh+lqakp06cfWnSUhuFKMgAAQJ1asOCRNDcPysiRo3psf/HFF/P8\n88/32LbJJptkwIAB6zNeXVKSAQAA6lR7+8qMGNG6xvZKZUGOOWZmj20nnDArM2cetb6i1a2GK8lT\njjij6AgAAADrxaBBg9Pe3r7G9tGjx+aCC76eJHnood/lX/7lq2lqWt/p6lPDlWQAAIC+Yvz4ttx/\n/31ZvHhRRo0a3b194MCBmTRpcpKkSTteKx7cBQAAUKemTn13kj8/5ZraUJIBAADq1MEHH5ottyzn\ne9/7j/zkJ3cWHach+Lg1AADQ57QvXVF0hG5vJsuAAQNyzjkX5OSTT8o//uPs7LjjpEyevGuGD39L\n2tvb89hjldxxx20plUrZbLORNUzduOqiJN9+++3Zaqut0tbWVnQUAACgzpXL43POjNOLjtFDuTy+\n1+8dPXpMLrvsP3LTTdfnzjvvyJVXfjcrV67MwIGbZNy4cZkx47AcfPAhGTduixomblx1U5KnTp36\nhkry3DmnZb9jL18PqQAAgHpUKpXS1jah6Bg1NWDAgBx++BE5/PAjio5S99b6nuSPfexjOfzww3Pw\nwQfnqquuSpLsuOOO3ftvueWWnHLKKUmSxx57LO9///szffr0nH/++d3j7rnnnhx33HHd7zn99NNz\nzTXXJEnOPffcHHTQQZkxY0bOPvvs3Hffffnxj3+cc845J4ceemgef/zx3p8tAAAAvIa1vpJ81lln\nZciQIVm1alWOOOKI7L///j32v/zx4meeeWY+/OEP58ADD8wVV1zxqnM2NTWlqakpy5Yty+23355b\nbrklSbIav5IKAAAgAElEQVRy5coMHjw4++yzT6ZOnbrGsQAAAKCW1rokf/vb387tt9+eJFmyZEl+\n//vfv+rYX/7yl7n44ouTJAcffHDOPvvs15y7paUlAwYMyKmnnpqpU6fmXe96V/e+rq6utY0K68yQ\nIc1pbW0pOgZ1zPqhlqwnas2aotasKerJWpXke+65J3Pnzs1VV12VAQMG5Oijj87q1at7XD1etWrV\n685TKpXy4osvdr9evXp1urq6UiqVMmfOnMydOze33nprvvOd7+Rb3/pWEr8Amw3L8uUdWboBPRGR\n+tLa2mL9UDPWE7VmTVFr1hS1tq7/0mWt7kleuXJlNt100wwYMCCPPPJI7r///iTJiBEj8sgjj+TF\nF1/svsqcJDvssEP3R6dvuumm7u1jxozJww8/nBdeeCHPP/985s6dm6ampnR0dGTFihXZe++9c8op\np+TBBx9MkgwaNCgrV6580ycLAAAAr2WtriTvueeeueKKK3LggQdmq622yg477JCmpqZ86lOfynHH\nHZfhw4dn++23T0dHR5Lk1FNPzezZs3PJJZdkjz32SEvLnxv/qFGj8p73vCfTp0/P2LFj87a3vS1J\n0t7enhNOOKH7yvJLDwA78MADc9ppp+U73/lOvvrVr2bcuHGvmnHKEWf06gsBAAAAa1WSN95443zz\nm998xX3Tpk1bY9vmm2/e/QTsm266KZVKpXvf7NmzM3v27DXeM2fOnDW27bTTTj2uRAMAAMC6sE5/\nT/IDDzyQM844I11dXRkyZEjOOuusdXk4AAAAeFPWaUneeeedc911163LQwAAAEDNrNWDuwAAAKCR\nKckAAABQ1XAlee6c04qOAAAAQJ1ap/ckAwAAbGg6OztTqSwoOkYP5fL4lEqlomMQJRkAAOhjKpUF\n+Z+TPpFRzc1FR0mSLO7oSM6/MG1tE9b6vfPn35tZs47PCSfMysyZR73imD33nJwpU/bIOeec/2aj\n9glKMgAA0OeMam7OFoNbio5RM01Nb24//1/D3ZMMAAAAvaUkAwAAQFXDfdx6yhFnFB0BAABgvVq1\nalWWLVtWdIyG0HAlGQAAoK+57LJLctlllxQdoyEoyQAAAHXukEMOz9Sp+66xvaurKyed9LECEtUv\nJRkAAKDOjR07LpMmTS46RkPw4C4AAACoUpIBAACgquFK8tw5pxUdAQAAgDrlnmQAAKDPWdzRUXSE\nbos7OrJV0SHopiQDAAB9Srk8Pjn/wqJjdNsq1UxsEJRkAACgTymVSmlrm1B0jJrYaaedc/fd815z\nzOvtp6eGuycZAAAAektJBgAAgKqGK8lTjjij6AgAAADUqYYryQAAANBbSjIAAABUKckAAABQpSQD\nAABAlZIMAAAAVQ1XkufOOa3oCAAAANSphivJAAAA0FtKMgAAAFQpyQAAAFDVv+gAAAAA61NnZ2cq\nlQVFx+ihXB6fUqlUdAyiJAMAAH1MpbIgs75yfZqHbFZ0lCRJx/Kn8tXZM9LWNmGt3zt//r2ZNev4\nnHDCrMycedQ6SNf3NFxJnnLEGUVHAAAANnDNQzbL4GFjio5RM01NRSdoHO5JBgAAgColGQAAAKqU\nZAAAAKhSkgEAAKBKSQYAAICqhivJc+ecVnQEAAAA6lTDlWQAAADoLSUZAAAAqpRkAAAAqOpfdAAA\nAID1rWP5U0VH6LYhZUFJBgAA+phyeXy+OntG0TF6KJfHFx2BqoYryVOOOKPoCAAAwAasVCqlrW1C\n0TFqYqedds7dd88rOkZDcU8yAAAAVCnJAAAAUKUkAwAAQJWSDAAAAFVKMgAAAFQ1XEmeO+e0oiMA\nAABQpxquJAMAAEBvKckAAABQpSQDAABAlZIMAAAAVUoyAAAAVDVcSZ5yxBlFRwAAAKBO9S86AAAA\nwPrU2dmZSmVB0TF6KJfHp1QqFR2DKMkAAEAfU6ksyMnXfy6DWluKjpIkaV+6IufMOD1tbRN6Pcf8\n+fdm1qzjc8IJszJz5lE1TNf3KMkAAECfM6i1JS2jhxYdo+aamopOUP8a7p5kAAAA6C0lGQAAAKoa\nriTPnXNa0REAAACoUw1XkgEAAKC3lGQAAACoUpIBAACgSkkGAACAqob7PcldL3Zm5XNPFB1jnVjd\nvizPvrAqf1z+ZI/tK1Y8nUVLluepp1dkRefrn3v70iezevmf/37kDyueTfvSFa84ruPZ9izu+FP3\n66V/WJXVTcvXGP/ycUv/sCrL/iLfa3kpe5I881x7Op5/6nVzvfy4z76wKh3Ln3rDx3vJ683/Sue+\nsmlZFi1ZnaeeXpHNtl7rQwIAAHWg4Uryr+/7eZ59dmXRMdaJzs7J6ex8MaVSKaVSv5dtn5SkKUlX\npqWpx75XnGe7sUl1XGfn5O5/XmPcLp099m3R2Zn3vNLxXzZui87OV53vlc9pUvf4D27bmQ++gVwv\nP27nkWvmeWPHfe35X35Ow4cPzhZLl/c493J5/FodDwAAqA8NV5K32WabLH2dK5CwNlpbWzJsmDUF\nANBIXu9Ti+vThpSFBizJAAAAr6VcHp9zZpxedIweavVJxX79SjWZpy9TkgEAgD6lVCqlrW1C0TFq\nqr39z7ectrS0FJyk/nm6NQAAQJ37zW8eSJKMH+8Js2+WK8kAAAB16rbbbsmDD/423//+ldlmm4nZ\ndtuJRUeqew1XksvlcubN+3XRMQAAANa58847J/36NWXvvffJiSf+fdFxGkLDlWQAAIC+4gc/+FHR\nERqOe5IBAACgSkkGAACAKiUZAAAAqpRkAAAAqGq4klypVIqOAAAAQJ1quJIMAAAAvaUkAwAAQJWS\nDAAAAFX9iw4AAACwPnV2dqZSWVB0jB7K5fEplUpFxyBKMgAA0MdUKgvyPyd9IqOam4uOkiRZ3NGR\nnH9h2tomrPV758+/N7NmHZ8TTpiVmTOP6rHvvvt+kc985u8zcOAmOf/8r2X8+K1rFbmhNVxJLpfL\nmTfv10XHAAAANmCjmpuzxeCWomPUTFNTz9c//endOe20z2TEiBG54IKvZ/ToMcUEq0PuSQYAAGgg\nP/zhLTn11E9n3LhxufjiyxTktdRwV5IBAAD6qmuuuTrnnXd2tttu+5x77oVpaWmcq+Xri5IMAABQ\n57q6kv/4j3/LN77x9UyaNDlf/vJ5GThwYNGx6pKSDAAAUOeuvfbqLFr0RPba6135whe+lP79Vb3e\nck8yAABAnXvmmaeTJKNHj1WQ36SGK8mVSqXoCAAAAOvVUUd9ODvtNDlXXPGdfO1rFxQdp641XEkG\nAADoawYOHJhzzjk/kyZNzpVXfjcXXXRe0ZHqlpIMAADQAAYMGJCzzz4/O++8S6666nu58MJ/LjpS\nXVKSAQAAGsSAAQPy5S+fl8mTd82cOVfkq19VlNeWO7oBAIA+Z3FHR9ERui3u6MhWNZzvpaL8mc98\nKldffUW6ul7MJz85u4ZHaGxKMgAA0KeUy+OT8y8sOka3rVLNVEMbb7xxvvzlf84pp3w6//Vfc9LV\n1ZWTTjq5psdoVE1dXV1dRYeopXK5nHnzfl10DBpIa2tLli5dUXQMGog1RS1ZT9SaNUWtWVPUWmtr\nyzqd3z3JAAAAUKUkAwAAQJWSDAAAAFVKMgAAAFQpyQAAAFDVcCW5UqkUHQEAAIA61XAlGQAAAHpL\nSQYAAIAqJRkAAACqlGQAAACoUpIBAACgquFKcrlcLjoCAAAAdap/0QEAAADWp87OzlQqC4qO0UO5\nPD6lUqnoGERJBgAA+phKZUG+/pUbMnTI5kVHSZIsW/5kTpg9PW1tE9b6vfPn35tZs47PCSfMysyZ\nR62DdH2PkgwAAPQ5Q4dsnhHDxhQdo2aamopO0Dga7p5kAAAA6C0lGQAAAKoariRXKpWiIwAAAFCn\nGq4kAwAAQG8pyQAAAFClJAMAAECVkgwAAABVSjIAAABUNVxJLpfLRUcAAACgTvUvOgAAAMD6tmz5\nk0VH6FaLLPfe+/OsWrVqje1Dhw7LoYe+903P35coyQAAQJ9SLo/PCbOnFx2jh3J5fK/e19TUlCT5\n+c9/lnvumbvG/i23LCvJa0lJBgAA+pRSqZS2tglFx6iJHXeclLvvnld0jIbScPckAwAAQG8pyQAA\nAFDVcCW5UqkUHQEAAIA61XAlGQAAAHpLSQYAAIAqJRkAAACqlGQAAACoUpIBAACgquFKcrlcLjoC\nAAAAdarhSjIAAAD0lpIMAAAAVUoyAAAAVPUvOgAAAMD61NnZmUplQdExeiiXx6dUKhUdgyjJAABA\nH1OpLMi9Pzoro0cOKTpKkmTRkuXJPqemrW3CWr93/vx7M2vW8UmSww8/IieddPIaY5577tkcdtiB\n6ezszA477JSLLrrkTWduZA1XkiuVSpYuXVF0DAAAYAM2euSQbDl2eNExambjjTfObbfdmo9//KRs\ntNFGPfbdcsvNSZJSqZSmpqYi4tUV9yQDAADUub32mpoVK57P3Xfftca+m2++PlOm7J6NNtq4gGT1\nR0kGAACoc9tsMzFtbRNy883X99j+v//7QCqVR3PggdMLSlZ/lGQAAIA619SUHHTQjMybd0+efnpp\n9/abbro+w4cPzzvfuWeSruIC1hElGQAAoAFMm/aelEql/OAHNyZJVq9elTvu+GGmTTvQk7PXgpIM\nAADQADbddEh2332v3HzzDUmSu+76cdrb23PQQYcUnKy+NFxJLpfLRUcAAAAoxIEHTs/ChY/nV7/6\nZW666fpst9322XLLctGx6krDlWQAAIC+apdddktr62a5/PJv5L77fpGDDppRdKS6oyQDAAA0iFKp\nlGnTDswvfjEvAwYMyL77Tis6Ut3pX3QAAAAAaufQQ9+bjTbaKGPGjE1zc3PRceqOkgwAAPQ5i5Ys\nLzpCt0VLlmf0drWbb/PNR+Zv/ubY2k3YxyjJAABAn1Iuj0/2ObXoGN1Gb1fNtM41rYdj1L+mrq6u\nhvuN0kuXrig6Ag2ktbXFmqKmrClqyXqi1qwpas2aotZaW1vW6fwe3AUAAABVSjIAAABUKckAAABQ\npSQDAABAlZIMAAAAVQ1XksvlctERAAAAqFMNV5IBAACgt5RkAAAAqFKSAQAAoEpJBgAAgColGQAA\nAKoariRXKpWiIwAAAFCn+hcdAAAAYH3q7OxMpbKg6Bg9lMvjUyqVio5BlGQAAKCPqVQW5Au3/U9a\nRo4pOkqSZMWSJ/L5/ZK2tglr/d758+/NrFnHJ0lOPvkfM336oWuM2XPPyZkyZY+cc875bzprX6Ak\nAwAAfU7LyDEZMmbLomPU1OWXfyP77/+eDBgwYI19TU0FBKpTDXdPMgAAQF8zceJb8/TTS3PVVd8r\nOkrdU5IBAADq3NSp+2Xbbd+a7373W3n++eVFx6lrDVeSy+Vy0REAAADWq379mnLccR9Pe/vKfOtb\nlxcdp641XEkGAADoi3beeZdMnrxrrrnm6ixZsqToOHVLSQYAAGgQxx9/Yv70pz/m0ksvLjpK3VKS\nAQAAGsSECdtm332n5bbbbskjjzxcdJy6pCQDAAA0kI9+9PiUSqVcfPGFRUepS0oyAABAAxk1anQO\nPfS9ueeeubnvvl8UHafuNFxJrlQqRUcAAAAo1DHH/J8MGjQoX/+6q8lrq3/RAQAAANa3FUueKDpC\ntxVLnkjevmVN5xwyZGhmzjw6l176rzWdty9QkgEAgD6lXB6fz+9XdIqXefuWKZfH13zaD3zgyFxz\nzdV59tlnaj53I2vq6urqKjpErS1duqLoCDSQ1tYWa4qasqaoJeuJWrOmqDVrilprbW1Zp/M33D3J\nAAAA0FtKMgAAAFQ1XEkul8tFRwAAAKBONVxJBgAAgN5SkgEAAKBKSQYAAIAqJRkAAACqlGQAAACo\nariSXKlUio4AAABAnWq4kgwAAAC9pSQDAABAlZIMAAAAVf2LDgAAALA+dXZ2plJZUHSMHsrl8SmV\nSkXHIEoyAADQx1QqCzLrK9enechmRUdJknQsfypfnT0jbW0Tej1He/vKzJlzRX7ykx9n4cKFefHF\nzowcOTrvfOfumTnz6AwbNryGiRtbw5XkcrmcefN+XXQMAABgA9Y8ZLMMHjam6Bg18dhjv8+nPnVi\nnnxySfbee59Mn35Y+vfvnwce+FXmzLkiN998Q7785fOz/fZvLzpqXWi4kgwAANBXrFq1Kv/wDyfl\nmWeeztlnn58pU3bv3jd9+qE57LAj8slPnpBTTvlUvv3tK1xRfgM8uAsAAKBO3XjjtVm48PEcccTM\nHgX5JRMnvjV/93cfy7Jlz+U///M/CkhYf5RkAACAOnXnnT9KU1NTZsw47FXHHHjgwSmVSrnrrh+t\nx2T1S0kGAACoUwsWPJLm5uaMGTP2VccMGDAwW25ZzpIli7Nq1ar1mK4+KckAAAB1qr19ZQYNGvy6\n45qbByVJVq5cua4j1b2GK8mVSqXoCAAAAOvFoEGD097e/rrjOjr+PGbw4Ncv1H1dw5VkAACAvmL8\n+La0t6/ME08sfNUxq1atyu9/X8nIkaMycODA9ZiuPinJAAAAdWrvvfdJktxww7WvOuaWW25MZ2dn\n91hem5IMAABQp6ZPPzRjxozLlVd+N/fcM3eN/b/73YP513/9lwwbNjwf/ODRBSSsP/2LDgAAALC+\ndSx/qugI3d5MloEDB+bss8/Lpz51Yk4++ZPZe+99ssMOO6VUKuW3v/1Nbr315gwaNChnnXVuhg0b\nXsPUjaupq6urq+gQtbZ06YqiI9BAWltbrClqypqilqwnas2aotY2xDXV2dmZSmVB0TF6KJfHp1Qq\n9fr97e0rM2fOFbnrrh9l4cKFefHFzowaNTrvfOcemTnz6IYqyK2tLet0/oYryeVyOfPm/broGDSQ\nDfFf7NQ3a4pasp6oNWuKWrOmqLV1XZLdkwwAAABVSjIAAABUKckAAABQpSQDAABAlZIMAAAAVQ1X\nkiuVStERAAAAqFMNV5IBAACgt5RkAAAAqFKSAQAAoKp/0QFq7f/+3/+bZ59dWXQMGshzzw22pqip\ndbGmOjs709n5YkqlUkqldf/3n52dnUmauo/1l6/rTS3yr8+vwcuPta7W0xs5lw3h+76uMxR1jr05\nbq3+PfBKa2pdfh1ea+4NYY1tCDb0r8Pr5fvLNfVq41++/aV/bmvbOqVSaZ1lh1fS1NXV1VV0iFra\n9b3/lOYhmxUdA2C9WvS7/8kez/wif3zbBzJ0yObr/HiPLfxN9n3X4oweOSRJ8ssHFmbesOlpGTlm\nnR97XVjywH1ZvbDfm/r/j2cW/jZDd340g1pbapjslS19cHE++Ks/ZVRz8zqZ/1fPPJMftU1/3a/H\n+jznV7M+vhZPtM1YLz9XL/eXP2NvxC8fWJibntoq/f8wsub/LbQuv9ev9T18o2ux0W0IP2uvZW1/\nDl/t5+rl6/6XDyzMj/64c8498r1pa5uwLmJTx1rX8c9Cw11Jvv+HF2W/Yy8vOgbAejVg0NAMXzEw\nq4dsnhHD1n1RfW75kxk9siNbjh2eJFm0ZHlaWsdkyJgt1/mx14UVTy5KaUVTBr+Jr13H8iczqPXp\ntIweWsNkr6z9qeczqvmP2WLwuvmPhMUd7Wkestnrfj3W5zm/mvXxtWhfTz9XL/eXP2NvxKIly7PJ\nH4dno41f/3u3ttbl9/q1vodvdC02ug3hZ+21rO3P4av9XL183S9asjyDXmhdF3HhdTVcSQYAAHgt\nnZ2dqVQWFB2jh3J5vI+WbyCUZAAAoE+pVBbk5Os/t8F8hL196YqcM+P0Xn20fP78ezNr1vE9tg0c\nuEm22GLLHHDAQXnve9+ffv02zPvZN1RKMgAA0OcMam3ZYD/C3hv77XdAdttt9yRdWbr0qfzgBzfm\nwgv/OY8++khOPvkfi45XV5RkAACAOrfNNttm//0P6H592GHvy5FHHpEbb7wuH/3o8Rk27I0/46Cv\nc90dAACgwTQ3D8rb3rZ9urq6smjRoqLj1JWGK8lTjjij6AgAAACF6urqysKFC9PU1JShQxvnY+Xr\ng49bAwAA1LlVq1Zl2bJl6erqyjPPPJ3vf//KPPLIQ9l++7dnzJixRcerK0oyAABAnbvsskty2WWX\ndL/u169f9thjbw/t6gUlGQAAoM4dcsjhmTp13zQ1NWXgwIEZN27LtLRsGL/iqt4oyQAAAHVu7Nhx\nmTRpctExGkLDPbgLAAAAeqvhSvLcOacVHQEAAPh/7d17eBSFvf/xzzLhFsgNCbcEWXaJcieJIOQU\n9AcFJEhAsXgQBXPA2toekUKxHkqKhT4/ivZApSh4WlRsLbYcELkEUEC5HAHBcJEjtIWw0HCRSyCE\nXJBs9vzhsrJyS8KSycy+X8/jYzIzO/tZ+Gb0k5nZBSyKy60BAAAAhJ2iU4VmRwioSVlASQYAAAAQ\nZpxOl14aPNXsGEGcTpfZEeBHSQYAAAAQVgzDkNudZHaMkEhN7apNm7abHcNWbHdPMgAAAAAAVUVJ\nBgAAAADAz3YlOW3YNLMjAAAAAAAsynYlGQAAAACAqqIkAwAAAADgR0kGAAAAAMCPkgwAAAAAgB8l\nGQAAAAAAP9uV5C2LssyOAAAAAACwKNuVZAAAAAAAqoqSDAAAAACAHyUZAAAAAAC/CLMDAAAAAEB1\n8nq98nhyzY4RxOl0yTAMs2NAlGQAAAAAYcbjydUnPxmr5pGRZkeRJB0vLpZmzZbbnVTlfRQVXdCi\nRe9q48aPlJeXp/Jyr5o1a6F/+ZeeeuyxkYqLiwthYnuzXUlOGzbN7AgAAAAAarjmkZG6s2GU2TFC\n4siRw5ow4Vl9+eUJ3X9/H2VkPKyIiAjt3btHixYtVHb2cr300iy1b9/R7KiWYLuSDAAAAADhorS0\nVD/72U905sxpzZgxS2lp3wmsy8h4SA8/PEzjxv1IL7wwQQsWLFRcXCMT01oDb9wFAAAAABa1YsVS\n5eX9U8OGPRZUkC9r27adfvCDH+vs2XwtXPhHExJaDyUZAAAAACzq44/Xy+FwaPDgh6+7zcCBg2QY\nhjZs+Kgak1kXJRkAAAAALCo396AiIyOVkJB43W3q1q2nVq2cOn78mEpLS6sxnTVRkgEAAADAooqK\nLqhBg4Y33S4ysoEkqbi46HZHsjzbleQti7LMjgAAAAAA1aJBg4YqKrp58S0uLpLD4VBMTGw1pLI2\n25VkAAAAAAgXLpdbRUUXdPRo3nW3KS0t1eHDHjVv3kKGYVRjOmuiJAMAAACARfXu/V1J0vLlS6+7\nzerVK+T1evXAAwOrK5alUZIBAAAAwKIGDRqili3v1F/+8o62bdty1fq//W2/5s17VfHxTfTww8NM\nSGg9EWYHAAAAAIDqdry42OwIAceLi9W6io+tW7eefv3rmZowYayef36c7r+/j5KTU2UYhvbt+1+t\nWZOtmJhYTZ/+n4qN5X7kiqAkAwAAAAgrTqdLmjXb7BgBreXPVEV33tlKCxb8WX/960Jt3PiRtmz5\nH5WWlkj6+p7luXPnB97dGjdnu5KcNmya2REAAAAA1GCGYcjtTjI7RkhFRjZQZuZTysx8SpLk9XqV\nlfWCNm36WO+//54ee+wJkxNaB/ckAwAAAIDNGIahqVOnKy3tO5o7d7aWLl1sdiTLsN2ZZAAAAACA\nFBERoZde+q3ZMSyHM8kAAAAAAPhRkgEAAAAA8KMkAwAAAADgZ7uSvGVRltkRAAAAAAAWZbuSDAAA\nAABAVVGSAQAAAADwoyQDAAAAAOBHSQYAAAAAwI+SDAAAAACAn+1KctqwaWZHAAAAAABYVITZAQAA\nAACgOnm9Xnk8uWbHCOJ0umQYhtkxIEoyAAAAgDDj8eTquZeXKTKmidlRJEnFBSf1ysTBcruTKv3Y\nnJwdeu65Z4KW1atXXy1btlTfvgP06KOPKSKC2lcZ/GkBAAAACDuRMU3UMC7B7Bgh06/fAPXo8R1J\nPp0+fVpr1qzU3LmzlZt7QJMn/9LseJZCSQYAAAAAi7vrrrvVv/+AwPdDhw7TiBGPaM2abD3zzLO6\n447GJqazFtu9cRcAAAAAhLt69eqpffuOkqQTJ06YnMZabFeStyzKMjsCAAAAAJju2LE8ORwONW7M\nWeTK4HJrAAAAALC40tJSnTt3Tj6fT/n5Z7R06WL94x9/V69e/09NmzYzO56lUJIBAAAAwOLmz39d\n8+e/HrTsX//1cf3gBz82KZF1UZIBAAAAwOKGDBmq3r37qqysTAcP/kPvvLNA69d/qEcffUxNmjQ1\nO56l2O6eZAAAAAAIN4mJLXXPPd3UvXuaRowYpRkzZun06VP69a9/ZXY0y6EkAwAAAIDNdOzYWQ88\nMFDbt2/Vjh2fmh3HUmxXktOGTTM7AgAAAACYLjPzKdWqVUtvvvl7s6NYCvckAwAAAAg7xQUnzY4Q\ncLuyJCQkqm/f/vrgg9XKydmh1NSut+V57IaSDAAAACCsOJ0uvTJxsNkxgjidrtuy31Gjxmjt2g/0\n1lt/oCRXUIVK8vDhw/Xuu+/e7iwAAAAAcNsZhiG3O8nsGCGRmtpVmzZtv+76Vq2c2rBhWzUmsr4K\n3ZNsRkEuKyur9ucEAAAAAIS3CpXklJQUFRcXKzMzU0OHDlVGRobWrVsnScrLy1N6erqysrI0aNAg\njRkzRhcvXpQkjRw5Unv37pUk5efnq0+fPoHHPP744xo6dKiGDh2qnTt3SpK2bdumESNG6JlnntGD\nDz6o2bNna8GCBYEcs2bN0ttvvx26Vw8AAAAAwBUq/O7W9erV05w5c7RkyRItWLBAM2bMCKw7cuSI\nHn/8ca1YsUJRUVFas2ZNYJ3D4bhqX40bN9abb76pJUuWaObMmfrVr7757K59+/Zp8uTJWrNmjR55\n5BG9//77kqTy8nJlZ2dryJAhN8y5ZVFWRV8SAAAAAABBKvzGXeXl5Zo5c6Z27NihWrVq6eTJkzpz\n5owkKTExUW3btpUkdejQQUePHr3hvi5duqSpU6dq//79MgxDhw8fDqzr1KmTEhISJEkJCQmKjY3V\nvtLzs18AABjeSURBVH37dOrUKbVv314xMTGVfpEAAAAArKdRo4aKj48yOwbCTIVL8vLly3X27Fm9\n9957MgxDffr0CVxWXadOncB2hmEElkdERKi8vFyS9NVXXwW2eeuttxQfH6+XX35ZXq9XnTt3DqyL\njIwMet7vfe97Wrx4sc6cOaNHHnmkCi8RAAAAgBXl51/QqVOFZsdADXO7f3FS4cutCwsLdccdd8gw\nDG3dulXHjh276WMSEhIC9ySvXr06sPzChQuKj4+XJC1dulRer/e6++jXr582bdqkvXv3qlevXhWN\nCwAAAABApVWoJDscDmVkZGjv3r3KyMjQ+++/L7fbfdPHjR49WgsXLtTDDz+sc+fOBe5PHjFihN57\n7z0NGTJEhw4duurs8ZVq166tHj16KD09/Zr3NwMAAAAAECo3vdz67Nmzio2NVVxc3HU/Cmr58uWB\nr0ePHh342uVyadmyZYHvx40bJ0lq1apV0PKf/vSnkqTu3bure/fuQfsuLy/X7t27NXv27Iq8HgAA\nAAAAquyGZ5K//PJLDR8+XGPGjKmuPEEOHDig/v37Ky0tTXfeeWeFHpM2bNptTgUAAAAAsKsbnklu\n2rRp0Mc5Vbc2bdpo7dq1pj0/AAAAACC8VPiNuwAAAAAAsDtKMgAAAAAAfhX+nGQAAAAAsAOv1yuP\nJ9fsGEGcTpcMwzA7BkRJBgAAABBmPJ5cPb/sF2oQH2V2FElS0alCvTR4qtzupCo9/ujRPP3pTwu0\ne3eOTp78UrVr19Edd9yhdu06KD19kFJTu4Y4sb3ZriRvWZSlfk+/YXYMAAAAADVYg/goRbWINTvG\nLdu//wv9+78/rdq162jAgAfVurVLFy9e1D//eViffrpNDRo0oCRXku1KMgAAAACEizfe+L2++uor\nvf76W3K721y1Pj//jAmprI037gIAAAAAi8rLO6Lo6JhrFmRJatTojmpOZH2UZAAAAACwqMTElioo\nOKcNGz4yO4ptcLk1AAAAAFjUqFFjtH37Nk2e/LwSElqqc+cuat++g1JSuqpVK6fZ8SyJkgwAAAAA\nFtWxYyfNn/9HvfvuO9q69ROtWrVCq1atkCR16ZKiSZOmqEWLBJNTWovtSnLasGlmRwAAAACAauNy\ntdGkSVMkSSdOnNCuXZ9pxYr3tXv3Tv3Hf0zQ/Pl/UkSE7arfbcM9yQAAAABgE82aNdOAAQ9qzpz/\nUqdOXZSbe1BffLHX7FiWQkkGAAAAABtq166DJOn06dMmJ7EWSjIAAAAAWNT27Vvl9XqvWn7xYqm2\nb98qh8Mhp7O1CcmsiwvTAQAAAISdolOFZkcIuJUss2fP1Pnz59Wz531yudyqW7eeTp78Uh9+uFp5\nef9UevoguVzuEKa1P0oyAAAAgLDidLr00uCpZscI4nS6qvS4sWPHa9OmDdqzZ7c2bFivwsJCRUVF\nye1O0siR/6aBAzNCnNT+bFeStyzKUr+n3zA7BgAAAIAayjAMud1JZscIiW7deqhbtx5mx7AV7kkG\nAAAAAMCPkgwAAAAAgB8lGQAAAAAAP0oyAAAAAAB+lGQAAAAAAPxsV5LThk0zOwIAAAAAwKJsV5IB\nAAAAAKgqSjIAAAAAAH6UZAAAAAAA/CjJAAAAAAD4UZIBAAAAAPCzXUnesijL7AgAAAAAAIuKMDsA\nAAAAAFQnr9crjyfX7BhBnE6XDMMwOwZESQYAAAAQZjyeXH3yk7FqHhlpdhRJ0vHiYmnWbLndSZV+\nbK9e3Sq87aJFy9WsWbNKP0e4oSQDAAAACDvNIyN1Z8Mos2PcsqysaUHf796do2XL3tOQIUPVuXNK\n0LrY2NjqjGZZlGQAAAAAsKj+/QcEfV9WdknLlr2nDh06XbUOFWO7N+4CAAAAAKCqbFeS04ZNu/lG\nAAAAAABcg+1KMgAAAAAAVUVJBgAAAADAj5IMAAAAAIAfJRkAAAAAAD9KMgAAAAAAfrYryVsWZZkd\nAQAAAABgURFmBwAAAACA6na8uNjsCAHHi4vV2uwQCKAkAwAAAAgrTqdLmjXb7BgBreXPFAIOh0MO\nhyMk+wpXlGQAAAAAYcUwDLndSWbHuC3S0wcpPX2Q2TEszXb3JAMAAAAAUFWUZAAAAAAA/GxXktOG\nTTM7AgAAAADAomxXkgEAAAAAqCpKMgAAAAAAfpRkAAAAAAD8KMkAAAAAAPhRkgEAAAAA8LNdSd6y\nKMvsCAAAAAAAi7JdSQYAAAAAoKooyQAAAAAA+FGSAQAAAADwizA7AAAAAABUJ6/XK48n1+wYQZxO\nlwzDMDsGREkGAAAAEGY8nly99vJyxcY0NTuKJOlcwZf60cQMud1JlX5sdvZyTZ8+VZMmTVF6+qCr\n1h8/fkyPPjpE6emDNGnSlFDEtT3bleS0YdPMjgAAAACghouNaarGcQlmx0ANxD3JAAAAAAD4UZIB\nAAAAAPCjJAMAAAAA4EdJBgAAAADAj5IMAAAAAICf7UrylkVZZkcAAAAAgBrF4XCYHcEybFeSAQAA\nACBc1K1bV5J08WLpNdeXlJQEbYebs93nJPvKvbpw9qjZMQCgWl0sOqf8r0p1qeDLanm+wsLTOnai\nIPD9ydOFKvRa99hbdOpLXSy4td8blxTmq+hUYYgS3VhxfpGOF5fdtv2fKilVccHJm25Xna/5eqrj\nz+JcNf1cXenbP2MVcfJ0oUrO5utSSZ2Q57mdf9c3+jus6CzaXU34WbuRyv4cXu/n6sq5P3m6UEWX\nToUso521aPH1Zz17PIeuuf7w4a+XN2/OZ0JXlMPn8/nMDhFKiYmJ+u//XmZ2DNhIo0YNlZ9/wewY\nsJHbMVNer1deb7kMw5Bh3P6LhLxeryRH4Lm+/b3VhCJ/df4ZXPlct2ueKvJaasLf++3OYNZrrMrz\nhuo4cK2Zup1/Djfad02YsZqgpv853Czft2fqettfufzy1253GxmGEfLMBw/+Q3/+r0/VOK5mFMfT\nZ49qxNP3yu1OqvRjvV6vHn10iC5evKi33lqoxo0bB9ZdunRJP/nJj/X557v1pz8tUsuWd4Yytmni\n46Nu6/5tdyY5IiKiSsMFXE98fJRO1eDf3sJ6mCmEEvOEUGOmEGo1dabMuErkem4li2EY+ulPX9Ck\nSROVmTlcDz44RC1aJOjs2XytW/eBPJ5DGjVqtG0KcnWwXUkGAAAAgBtxOl360cQMs2MEcTpdVX5s\nWlpPzZ07X++887ZWr16hgoIC1atXX3ff3VajRz+t3r37hjCp/dnucmtJNfI3VbCumvrbT1gXM4VQ\nYp4QaswUQo2ZQqjd7suta+aNDQAAAAAAmICSDAAAAACAHyUZAAAAAAA/SjIAAAAAAH6UZAAAAAAA\n/GxXkp1Op9kRAAAAAAAWZbuSDAAAAABAVVGSAQAAAADwoyQDAAAAAOBHSQYAAAAAwI+SDAAAAACA\nn+1KssfjMTsCAAAAAMCiIswOAAAAAADVyev1yuPJNTtGEKfTJcMwzI4BUZIBAAAAhBmPJ1c71v9/\ntWgWY3YUSdKxEwVSn0lyu5Mq/djJk3+mDRvW64033lFS0l3X3Mbn8+nRR4eosLBQy5atUZ06dW41\nsq1RkgEAAACEnRbNYtQqsZHZMW5ZRsZD2rBhvbKzl+u55yZcc5ucnB06ceK4hgx5hIJcAba7JxkA\nAAAAwsW99/ZQkyZN9eGHq1RWVnbNbbKzl0mSBg0aUp3RLIuSDAAAAAAW5XA4NHBghgoKCrR584ar\n1hcVXdDHH6+Xy9VGbdu2MyGh9diuJDudTrMjAAAAAEC1GTgwQw6HQ9nZy69at3btB/rqq684i1wJ\ntivJAAAAABBOmjdvoZSUrtq2bYvOnDkdtC47e7lq166jBx5INymd9VCSAQAAAMDiBg0arPLycq1e\nvTKw7PBhj774Yq969rxP0dE14528rYCSDAAAAAAWd//9fdSwYVTQJdcrV74vSXrwwcFmxbIkSjIA\nAAAAWFydOnXUr98DOnLksPbu3SOv16s1a7LVpElTde+eZnY8S6EkAwAAAIANXH5zrpUrl2vr1k+U\nn5+v9PRBJqeyngizA4Sax+PRqVOFZscAAAAAgGp1111tlZR0l9av/0AnT34ph8PBpdZVYLuSDAAA\nAAA3c+xEgdkRAo6dKFCL9qHZ14MPDtFvf/uyPv10i1JTu6p58xah2XEYoSQDAAAACCtOp0vqM8ns\nGAEt2vszhUD//ul67bVXdOnSJc4iVxElGQAAAEBYMQxDbneS2TFui6ioKK1b9z9mx7A03rgLAAAA\nAAA/SjIAAAAAAH62K8lOp9PsCAAAAAAAi7JdSQYAAAAAoKooyQAAAAAA+FGSAQAAAADwoyQDAAAA\nAOBHSQYAAAAAwM92Jdnj8ZgdAQAAAABgUbYryQAAAAAAVBUlGQAAAAAAP0oyAAAAAAB+EWYHAAAA\nAIDq5PV65fHkmh0jiNPpkmEYZseAKMkAAAAAwozHk6tffviJopolmB1FklR44qim9JPc7qRKP3br\n1k80ceJzGjVqtL7//WeC1u3d+7meeWa0ateurVWr1qtu3XpB68ePf1Y7dmzTihUfKjo65pZeg53Y\nriQ7nU5t3/652TEAAAAA1GBRzRIUk9DK7Bi3rEuXFBmGoV27cq5at3PnDhmGobKyMn3++R517Xpv\nYN3Xy3bJ5WpDQf4W7kkGAAAAAIuqX7++2rZtr337/lcXL5YGrdu58zN169ZdcXGNtHPnZ0Hr9u//\nQqWlpUpJuac641oCJRkAAAAALCw1tasuXbqkPXt2B5ZdPnucknKPkpNTlZOzI+gxl0tzaiol+dso\nyQAAAABgYampXSUp6Gzx12eKS5ScnKqUlFTt3/9F0JnmnTs/U61atZScTEn+NkoyAAAAAFhYp06d\nVbt2be3c+c3Z4p07P1NkZKTatm2v5OR7VFZWpj17dkm6fJZ5t9zuNoqKijIrdo1FSQYAAAAAC6tb\nt57ateug/fv3Bc4W79z5mTp27KJatWrJ6WytuLhGysn5+kzzN/cjdzUzdo1lu5Ls8XjMjgAAAAAA\n1So1tWvgbPHlM8XJyamB9V26pAQux778b96069psV5IBAAAAINxcvi85J+ezK84Uf1OSk5NTtH//\nFyopKbnifuTU6+0urNnuc5IBAAAAINx06NBJderUUU7ODkVGRqpu3bpq27Z9YH1y8j3yer3aufMz\nff75biUl3a2GDRuamLjmoiQDAAAAgMXVqVNHHTt21u7dO1WrVi117NhZERHf1D2Xy62YmBj9+c9v\n8/nIN0FJBgAAABB2Ck8cNTtCQOGJo1KnVre8n5SUe5STs0N79+7RmDE/CFrncDjUuXOKNm36WBKf\nj3wjlGQAAAAAYcXpdGlKP7NTXKFTKzmdrlveTWpqV82f/7ocDsc1zxQnJ6dq06aPZRiGunRJueXn\nsyuHz+fzmR0ilJxOp7Zv/9zsGLCR+PgonTpVaHYM2AgzhVBinhBqzBRCjZlCqMXH397PdubdrQEA\nAAAA8KMkAwAAAADgR0kGAAAAAMCPkgwAAAAAgB8lGQAAAAAAP9uVZI/HY3YEAAAAAIBF2a4kAwAA\nAABQVZRkAAAAAAD8KMkAAAAAAPhRkgEAAAAA8KMkAwAAAADgZ7uS7HQ6zY4AAAAAALAo25VkAAAA\nAACqipIMAAAAAIAfJRkAAAAAAD9KMgAAAAAAfpRkAAAAAAD8HD6fz2d2CAAAAAAAagLOJAMAAAAA\n4EdJBgAAAADAj5IMAAAAAIAfJRkAAAAAAD9KMgAAAAAAfpRkAAAAAAD8KMkAAAAAAPjZoiQfOHBA\nTz75pJKTk9WrVy/Nnj1b5eXlZsdCDbRkyRK1bdv2qn/+8pe/BG03b9483X///erSpYueeOIJ7d+/\n/6p9MXfh5/Dhw/rFL36hjIwMtWvXTiNHjrzmdqGcn4rsC9ZVkZnq06fPVcesnj17XrUdM4Xs7Gw9\n/fTT6tmzp1JSUjR06FCtXLnyqu04RqGiKjJTHKNQGatXr9bw4cPVvXt3de7cWQMGDNDcuXN16dKl\noO3MPk5FVP0l1gwFBQXKzMzUXXfdpblz5+rw4cOaMWOGysvLNW7cOLPjoYZ6++23Va9evcD3iYmJ\nga9ff/11zZ07V88//7xcLpfefPNNZWZmasWKFWrcuLEk5i5cHThwQBs3blRycrK8Xq8cDsdV24Ry\nfiqyL1hbRWZKkjIyMoIKdO3atYPWM1OQvv5vW2JioiZPnqy4uDh9/PHHmjBhgs6ePasnnnhCEsco\nVE5FZkriGIWKKygoUFpamp566ilFR0dr9+7dmjNnjk6fPq2srCxJNeQ45bO4efPm+e69917fhQsX\nAst+//vf+7p06eIrLCw0MRlqosWLF/vuvvtuX3Fx8TXXl5aW+lJTU32vvvpqYFlxcbGvR48evlmz\nZgWWMXfhqby8PPD1s88+6xs5cmTQ+lDOT0X3BWu72Uz5fD5f7969fTNmzLjhfpgp+Hw+39mzZ69a\nNn78eF+fPn18Ph/HKFTezWbK5+MYhVs3c+ZMX9euXX0+X805Tln+cuuNGzeqZ8+eatCgQWDZwIED\nVVpaqu3bt5uYDDWZz+e75vKcnBwVFRUpPT09sKx+/frq3bu3Nm7cGFjG3IWn653luywU87Njx45K\n7QvWdrOZuux6x6zLmClIUmxs7FXL2rVrp5MnT0riGIXKu9lMXcYxCrciNjZWZWVlkmrOccryJfnQ\noUNq3bp10LIWLVqofv36OnTokEmpUNP169dPHTp00IABA4LuR87NzZVhGHI6nUHbu1yuoHli7nAt\noZif3NzcSu0L4WHx4sXq2LGjunbtqrFjx+rYsWNB65kpXM+uXbsCs8ExCqFw5UxdxjEKleX1elVS\nUqIdO3boj3/8o4YPHy6p5hynLH9P8vnz5xUdHX3V8ujoaBUUFJiQCDVZkyZNNG7cOHXu3Fler1cr\nV67UlClTVFJSoszMTJ0/f16RkZFXnd2JiYlRSUmJysrKFBERwdzhmkI5PxXdF+zvu9/9rlJSUtS0\naVMdPHhQc+bM0eOPP67ly5erYcOGkir230JmKvxs2bJF69at0/Tp0yVxjMKt+/ZMSRyjUDXJycmB\nN+saNGiQJk6cKKnmHKeYNISVnj17Br3jYq9evXTx4kXNmzdPTz75pInJAODafv7znwe+vueee5SS\nkqKHHnpIS5Ys0ahRo0xMhposLy9PEyZMUN++ffXQQw+ZHQc2cL2Z4hiFqvjrX/+qkpIS7dmzR6++\n+qpefPFFTZ061exYAZYvydHR0SosLLxq+fnz5xUTE2NCIlhN//79tWrVKh09elTR0dEqLi6Wz+cL\n+q1TQUGB6tevH/htE3OHawnl/FR0Xwg/SUlJat26tfbt2xdYxkzhSufOndP3v/99JSYm6je/+U1g\nOccoVNX1ZupaOEahItq1aydJSk1NVWxsrF544YXAO17XhOOU5e9JdrlcgevOLzt+/LhKSkrkcrlM\nSgUrufxD43A45HK55PV6dfjw4aBtcnNzg+aJucO1hHJ+KrovQGKm8I2SkhL98Ic/lNfr1bx581S3\nbt3AOo5RqIobzVRFMVO4kfbt20uSjh49KrfbXSOOU5Yvyffdd582b96soqKiwLLs7GzVr19f3bp1\nMzEZrGLNmjWKi4tTQkKCUlNT1bBhQ61atSqwvqSkRB999JHuu+++wDLmDtcSyvmp6L4Qfv7+97/r\n0KFD6tChQ2AZMwVJKisr03PPPacjR47oD3/4gxo1ahS0nmMUKutmM3UtHKNQWTk5OZKkxMREpaSk\n1IjjlPHiiy++GIoXZ5akpCS9++67+vTTT9WkSRN98sknmjlzpjIzM9WrVy+z46GGGTt2rI4fP67C\nwkLl5ubqtdde08qVKzVx4kR17tw5cNnFvHnzFBUVpaKiIk2fPl0nT57UjBkzVL9+fUnMXbgqLS3V\n2rVrdeDAAW3evFnnz59Xo0aNdODAASUmJqpevXqSQjM/FZ1FWNvNZmrz5s363e9+J6/Xq/z8fG3c\nuFFZWVmKi4vTL3/5S9WpU0cSM4WvTZkyRatWrdL48eMVHR2tEydOBP5p1KhR4AwgxyhU1M1matOm\nTRyjUCljxozRmTNndP78eeXl5Wnp0qWaM2eOHnjgAQ0bNiyk/y9+KzPl8N3sg80s4ODBg5o6dap2\n7dql6OhoDRs2TM8++2yFP38S4WPWrFlas2aNTpw4IZ/PpzZt2ujJJ5/U4MGDg7abN2+eFi5cqHPn\nzqlTp06aPHmy2rZtG7QNcxd+8vLy1LdvX0nfXKZ/+T6XdevWqUWLFpJCOz8V2Res62YzVVhYqOnT\np+tvf/ubCgsLFRsbq169emn8+PGKj48P2hczhT59+uj48eNXfWYtxyhU1c1mimMUKuuVV17R2rVr\nlZeXp4iICLVs2VKPPPKIhg8fLsMwAtuZfZyyRUkGAAAAACAULH9PMgAAAAAAoUJJBgAAAADAj5IM\nAAAAAIAfJRkAAAAAAD9KMgAAAAAAfpRkAAAAAAD8KMkAAAAAAPhRkgEAAAAA8Ps/r9meCF19cP8A\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x54eff490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XXnhhz7h77703J554Ys8xZ599dq699tokyRe+8IW8733vy+zZs3Peeefl/vvv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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5525a490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ANUoyAAAA1CjJAAAAUNNwJXnugnOKjgAAAECdariSDAAAAEOlJAMAAECNkgwA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\n+uRUAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5539ae90>"
       ]
      }
     ],
     "prompt_number": 37
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, axes = plt.subplots(nrows=6, ncols=3,figsize=(10,15))\n",
      "i = 0\n",
      "j = 0\n",
      "for genome in genomes_order:\n",
      "\n",
      "    plot_dict = defaultdict(list)\n",
      "    \n",
      "    for sample in sample_ids:\n",
      "        for snp_type in results_snp_types[genome][sample]:\n",
      "            plot_dict[snp_type].append(results_snp_types[genome][sample][snp_type])\n",
      "    \n",
      "    df = pd.DataFrame(plot_dict, index=sample_ids)\n",
      "    df.plot(ax=axes[j,i],kind=\"bar\",stacked=True,legend=False,title=genome)\n",
      "    #df.plot(\n",
      "\n",
      "    \n",
      "    if i == 0:\n",
      "        i += 1\n",
      "    elif i == 1:\n",
      "        i += 1\n",
      "    elif i == 2:\n",
      "        i = 0\n",
      "        j += 1\n",
      "\n",
      "patches, labels = axes[1,1].get_legend_handles_labels()\n",
      "\n",
      "plt.figlegend(patches, [\"Intergenic\", \"Non-Synonymous\", \"Synonymous\"], loc = \"lower right\", bbox_to_anchor= (-0.05,0.05,1,1), bbox_transform=plt.gcf().transFigure)\n",
      "        \n",
      "fig.delaxes(axes[5,2])\n",
      "plt.tight_layout()\n",
      "plt.savefig(\"SNPsummary.pdf\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}